topology for convergent sequences in specified topological space
let (x, d) be a metric space where t denote the collection of all subsets
u of x such that for each x belonging to u there exist r> 0 and a
countable subset A of X ( both depending of x ) such that x does not
belong to A and B(x,r)-A is subset of U.
then 1) check t is a topology? 2) determine the convergent sequences? 3)
if B is a subset of X and x belongs to closure of B , Does there always
exist a sequence (xn)in B which converges to x?
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